Finding the Third Proportional to 31,396 and 65,348

Step by Step Solution

1. Step 1: Write the proportion equation
   31,396 : 65,348 = 65,348 : x
2. Step 2: Convert to fraction form
   31,396/65,348 = 65,348/x
3. Step 3: Cross multiply
   31,396x = 65,348 × 65,348
4. Step 4: Simplify right side
   31,396x = 4,270,361,104
5. Step 5: Solve for x
   x = 4,270,361,104/31,396
6. Step 6: Final answer
   x = 136,016.09